Epidemic spreading and immunization with identical infectivity

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dc.creatorYang, Rui
dc.creatorRen, Jie
dc.creatorBai, Wen-Jie
dc.creatorZhou, Tao
dc.creatorZhang, Ming-Feng
dc.creatorWang, Bing-Hong
dc.date2006-11-09
dc.date2007-04-04
dc.date.accessioned2026-07-07T07:55:11Z
dc.date.available2026-07-07T07:55:11Z
dc.descriptionIn this paper, a susceptible-infected-susceptible (SIS) model with identical infectivity, where each node is assigned with the same capability of active contacts, $A$, at each time step, is presented. We found that on scale-free networks, the density of the infected nodes shows the existence of threshold, whose value equals 1/A, both demonstrated by analysis and numerical simulation. The infected population grows in an exponential form and follows hierarchical dynamics, indicating that once the highly connected hubs are reached, the infection pervades almost the whole network in a progressive cascade. In addition, the effects of random, proportional, and targeted immunization for this model are investigated. Based on the current model and for heterogenous networks, the targeted strategy performs best, while the random strategy is much more efficient than in the standard SIS model. The present results could be of practical importance in the setup of dynamic control strategies.
dc.description6 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/physics/0611095
dc.identifierhttp://arxiv.org/abs/physics/0611095
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126882
dc.subjectPhysics and Society
dc.subjectBiological Physics
dc.titleEpidemic spreading and immunization with identical infectivity
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